What is the Least Common Multiple of 64024 and 64034?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 64024 and 64034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64024 and 64034, than apply into the LCM equation.

GCF(64024,64034) = 2
LCM(64024,64034) = ( 64024 × 64034) / 2
LCM(64024,64034) = 4099712816 / 2
LCM(64024,64034) = 2049856408

Least Common Multiple (LCM) of 64024 and 64034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64024 and 64034. First we will calculate the prime factors of 64024 and 64034.

Prime Factorization of 64024

Prime Factorization of 64034

Now multiplying the highest exponent prime factors to calculate the LCM of 64024 and 64034.

LCM(64024,64034) = 2³ × 53¹ × 151¹ × 101¹ × 317¹
LCM(64024,64034) = 2049856408